Abstract
Let F be an infinite field of characteristic p > 2 and let E be the Grassmann algebra generated by an infinite dimensional vector space V over F. In this paper, we describe the T 2 -ideal of the Z 2 -graded polynomial identities of the Grassmann algebra E for any Z 2 -grading such that V is homogeneous in the grading. In particular, we give a description of the T 2 -ideal of the graded identities of E in the case there is a finite number of homogeneous elements of the linear basis of E belonging to one of the homogenous components of E .
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